Finite Group Databasebeta

← #11235810

Subgroups — #11235810

Order 768.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2418C211yesmaximal, characteristic, complemented
2#82910C211yesmaximal, characteristic, complemented
3#82869C211yesmaximal, characteristic, complemented
4#82601C211yesmaximal, characteristic, complemented
5#82586C211yesmaximal, characteristic, complemented
6#82380C211yesmaximal, characteristic, complemented
7#82360C211yesmaximal, characteristic, complemented
8#82109C211yesmaximal, characteristic, complemented
9C2×#4942C211yesmaximal, characteristic, complemented
10#78099C211yesmaximal, characteristic, complemented
11#78066C211yesmaximal, characteristic, complemented
12#77692C211yesmaximal, characteristic, complemented
13#77603C211yesmaximal, characteristic, complemented
14#77159C211yesmaximal, characteristic, complemented
15#77131C211yesmaximal, characteristic, complemented
16#77067C211yesmaximal, characteristic, complemented
17#77049C211yesmaximal, characteristic, complemented
18#75771C211yesmaximal, characteristic, complemented
19#75723C211yesmaximal, characteristic, complemented
20#75719C211yesmaximal, characteristic, complemented
21#75489C211yesmaximal, characteristic, complemented
22#74809C211yesmaximal, characteristic, complemented
23#74772C211yesmaximal, characteristic, complemented
24#74705C211yesmaximal, characteristic, complemented
25#74683C211yesmaximal, characteristic, complemented
26#74464C211yesmaximal, characteristic, complemented
27#74418C211yesmaximal, characteristic, complemented
28#73949C211yesmaximal, characteristic, complemented
29#73943C211yesmaximal, characteristic, complemented
30#73847C211yesmaximal, characteristic, complemented
31#73829C211yesmaximal, characteristic, complemented
32#45462—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×C3×#120C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C2×#924C2211yescharacteristic, complemented
49C22×Dic3⋊C4C2211yescharacteristic
50C22×Dic3⋊C4C2211yescharacteristic
51C2×#894C2211yescharacteristic, complemented
52C2×#886C2211yescharacteristic
53C2×#886C2211yescharacteristic
54C2×#885C2211yescharacteristic
55C2×#884C2211yescharacteristic
56C2×#67⋊C4C2211yescharacteristic
57C2×#878C2211yescharacteristic
58C3×#399C2211yescharacteristic
59C3×#397C2211yescharacteristic
60C3×#394C2211yescharacteristic
61C3×#394C2211yescharacteristic
62C3×#388C2211yescharacteristic
63C3×#388C2211yescharacteristic
64C3×#386C2211yescharacteristic
65C3×#386C2211yescharacteristic
66C3×#385C2211yescharacteristic
67C3×#380C2211yescharacteristic
68C3×#379C2211yescharacteristic
69#5223C2211yescharacteristic
70#5222C2211yescharacteristic
71#5221C2211yescharacteristic
72#5220C2211yescharacteristic
73#5220C2211yescharacteristic
74#5220C2211yescharacteristic
75#5220C2211yescharacteristic
76#5213C2211yescharacteristic
77#5213C2211yescharacteristic, complemented
78#5213C2211yescharacteristic, complemented
79#5210C2211yescharacteristic
80#5210C2211yescharacteristic, complemented
81C2×C3⋊#95C2211yescharacteristic
82C2×C3⋊#95C2211yescharacteristic
83#4994C2211yescharacteristic, complemented
84#4994C2211yescharacteristic, complemented
85#4993C2211yescharacteristic, complemented
86#4993C2211yescharacteristic, complemented
87#4991C2211yescharacteristic, complemented
88#4989C2211yescharacteristic, complemented
89#4989C2211yescharacteristic, complemented
90#4986C2211yescharacteristic, complemented
91#4982C2211yescharacteristic, complemented
92#4982C2211yescharacteristic, complemented
93#4982C2211yescharacteristic, complemented
94#4981C2211yescharacteristic, complemented
95#4981C2211yescharacteristic, complemented
96#4981C2211yescharacteristic, complemented
97#4980C2211yescharacteristic, complemented
98#4979C2211yescharacteristic, complemented
99#4979C2211yescharacteristic, complemented
100#4977C2211yescharacteristic, complemented
101#4972C2211yescharacteristic, complemented
102#4961C2211yescharacteristic
103#4961C2211yescharacteristic
104#4961C2211yescharacteristic, complemented
105#4960C2211yescharacteristic
106#4960C2211yescharacteristic, complemented
107#4959C2211yescharacteristic
108#4959C2211yescharacteristic
109#4959C2211yescharacteristic
110#4959C2211yescharacteristic, complemented
111#4959C2211yescharacteristic, complemented
112#4958C2211yescharacteristic
113#4958C2211yescharacteristic
114#4958C2211yescharacteristic
115#4958C2211yescharacteristic
116#4958C2211yescharacteristic
117#4958C2211yescharacteristic
118#4958C2211yescharacteristic
119#4958C2211yescharacteristic
120#4958C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic, complemented
126#4953C2211yescharacteristic, complemented
127#4952C2211yescharacteristic
128#4952C2211yescharacteristic, complemented
129#4951C2211yescharacteristic
130#4951C2211yescharacteristic
131#4951C2211yescharacteristic, complemented
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic
134#4950C2211yescharacteristic
135#4950C2211yescharacteristic
136#4950C2211yescharacteristic
137#4949C2211yescharacteristic, complemented
138#4948C2211yescharacteristic
139#4948C2211yescharacteristic
140#4948C2211yescharacteristic, complemented
141#4947C2211yescharacteristic
142#4944C2211yescharacteristic
143#4944C2211yescharacteristic
144#4944C2211yescharacteristic, complemented
145#4944C2211yescharacteristic, complemented
146#4943C2211yescharacteristic
147#4943C2211yescharacteristic
148#4942C2211yescharacteristic
149#4942C2211yescharacteristic
150#4942C2211yescharacteristic
151#4942C2211yescharacteristic
152#4942C2211yescharacteristic
153#4942C2211yescharacteristic
154#4942C2211yescharacteristic
155#4942C2211yescharacteristic
156#4942C2211yescharacteristic
157#4942C2211yescharacteristic
158#4942C2211yescharacteristic
159Dic3×C22⋊C4C2211yescharacteristic
160#4940C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4933C2211yescharacteristic, complemented
163#4928C2211yescharacteristic, complemented
164#4675C2211yescharacteristic, complemented
165#4674C2211yescharacteristic, complemented
166#4673C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4664C2211yescharacteristic, complemented
175#4660C2211yescharacteristic, complemented
176#4660C2211yescharacteristic, complemented
177#4658C2211yescharacteristic, complemented
178#4658C2211yescharacteristic, complemented
179#4658C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#2849—31no—
189#2847—31no—
190#2841—31no—
191#2813—31no—
192#2781—31no—
193#2779—31no—
194#2747—31no—
195#2743—31no—
196#2741—31no—
197#2740—31no—
198#2708—31no—
199#2706—31no—
200#2696—31no—
201#2686—31no—
202#2672—31no—
203#2671—31no—
204#2591—31no—
205#2579—31no—
206#2564—31no—
207#2543—31no—
208#2505—31no—
209#2472—31no—
210#2449—31no—
211#2444—31no—
212#2443—31no—
213#2424—31no—
214#2424—31no—
215#2418D311yescharacteristic, complemented
216#2377—31no—
217#2376—31no—
218C2×#380—31no—
219C25×C3C2311yescharacteristic
220C22×C3×D4C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3—24no—
235C23×Dic3—42no—
236C23×Dic3—42no—
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×#123—42no—
250C3×#120—42no—
251C3×C4×D4—42no—
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4—42no—
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275#953—42no—
276#953—42no—
277C2×#217—42no—
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294#939—24no—
295#939—42no—
296#939—42no—
297#939—42no—
298#938—42no—
299#930—42no—
300C4×#67—42no—
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327#924—42no—
328C2×Dic3⋊C4—42no—
329C2×Dic3⋊C4—42no—
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352#894—42no—
353#886—24no—
354#886—42no—
355#885—42no—
356#884—42no—
357#67⋊C4—42no—
358#878—42no—
359C3×#95C2311yescharacteristic
360C3×#95C2311yescharacteristic
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
364C3×#95C2311yescharacteristic
365C3⋊#95C2311yescharacteristic
366C3⋊#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C24×C4—31no—
402C2×#124—31no—
403C2×#123—31no—
404C2×#123—31no—
405C2×#123—31no—
406C2×#123C2×D311yescharacteristic
407C2×C22⋊Q8—31no—
408C2×C22⋊Q8—31no—
409C2×#121—31no—
410C2×#121—31no—
411C2×#121—31no—
412C2×#121—31no—
413C2×#121—31no—
414C2×#121—31no—
415C2×#121—31no—
416C2×#120—31no—
417C2×#120—31no—
418C2×#120C2×D311yescharacteristic
419C2×C4×D4—31no—
420C2×C4×D4—31no—
421C2×C4×D4C2×D311yescharacteristic
422C22×C4⋊C4—31no—
423C22×C4⋊C4—31no—
424C22×C22⋊C4—31no—
425C22×C22⋊C4C2×D311yescharacteristic
426#400—31no—
427#400—31no—
428#400—31no—
429#400—31no—
430#400—31no—
431#400—31no—
432#400—31no—
433#399—31no—
434#399—31no—
435#399—31no—
436#399C2×D311yescharacteristic
437#398—31no—
438#398—31no—
439#398—31no—
440#398—31no—
441#398—31no—
442#398—31no—
443#397—31no—
444#397—31no—
445#397—31no—
446#397—31no—
447#397—31no—
448#397C2×D311yescharacteristic
449#396—31no—
450#396—31no—
451#396—31no—
452#396—31no—
453#396—31no—
454#395—31no—
455#395—31no—
456#394—31no—
457#394—31no—
458#394—31no—
459#394—31no—
460#394—31no—
461#394—31no—
462#394—31no—
463#394—31no—
464#394—31no—
465#394—31no—
466#394—31no—
467#394C2×D311yescharacteristic
468#394C2×D311yescharacteristic
469#393—31no—
470#393—31no—
471#392—31no—
472#392—31no—
473#392—31no—
474#390—31no—
475#390—31no—
476#390—31no—
477#389—31no—
478#389—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388C2×D311yescharacteristic
492#388C2×D311yescharacteristic
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387—31no—
499#387—31no—
500#387—31no—
501#387—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386C2×D311yescharacteristic
522#386C2×D311yescharacteristic
523#385—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#385—31no—
535#385C2×D311yescharacteristic
536#382—31no—
537#381—31no—
538#381—31no—
539#381—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#380—31no—
545#380—31no—
546#380—31no—
547#380—31no—
548#380—31no—
549#380—31no—
550#380—31no—
551#380C2×D311yescharacteristic
552#379C2×D311yescharacteristic
553C4×C22⋊C4—31no—
554C2×#95—31no—
555C2×#95—31no—
556C24×C3—22no—
557C24×C3—22no—
558C24×C3—22no—
559C24×C3—22no—
560C24×C3—22no—
561C24×C3—41no—
562C24×C3—41no—
563C24×C3C2411yescharacteristic
564C24×C3C2411yescharacteristic
565C24×C3C2411yescharacteristic
566C24×C3C2411yescharacteristic
567C23×D3C2411yescharacteristic
568C23×D3C2411yescharacteristic
569C2×C3×D4—22no—
570C2×C3×D4—22no—
571C2×C3×D4—22no—
572C2×C3×D4—22no—
573C2×C3×D4—22no—
574C2×C3×D4—41no—
575C2×C3×D4—41no—
576C2×C3×D4—41no—
577C2×C3×D4—41no—
578C22×C3×C4—22no—
579C22×C3×C4—22no—
580C22×C3×C4—41no—
581C22×C3×C4—41no—
582C22×C3×C4—41no—
583C22×C3×C4—41no—
584C22×C3×C4—41no—
585C22×C3×C4—41no—
586C22×C3×C4—41no—
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C2×#67—22no—
599C2×#67—22no—
600C2×#67—22no—
601C2×#67—22no—
602C2×#67—22no—
603C2×#67—22no—
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—41no—
610C2×#67—41no—
611C2×#67—41no—
612C2×#67—41no—
613C2×#67—41no—
614C2×#67—41no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C22×Dic3—22no—
623C22×Dic3—22no—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—22no—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—41no—
635C22×Dic3—41no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3—416no—
646C22×Dic3#4114yes—
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×Dic6—41no—
671C2×Dic6—41no—
672C2×Dic6—41no—
673C3×C4⋊C4—41no—
674C3×C4⋊C4—41no—
675C3×C4⋊C4—41no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C22⋊C4—22no—
679C3×C22⋊C4—22no—
680C3×C22⋊C4—22no—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—22no—
683C3×C22⋊C4—22no—
684C3×C22⋊C4—22no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4—41no—
690C3×C22⋊C4—41no—
691C3×C22⋊C4—41no—
692C3×C22⋊C4—41no—
693C3×C22⋊C4—41no—
694C3×C42—41no—
695#217—22no—
696#217—22no—
697#217—22no—
698#217—22no—
699#217—22no—
700#217—22no—
701#217—41no—
702#217—41no—
703#217—41no—
704#217—41no—
705#217—41no—
706#217—41no—
707#217—41no—
708#217—41no—
709#217—41no—
710#217—41no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729C4⋊Dic3—22no—
730C4⋊Dic3—22no—
731C4⋊Dic3—22no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
736C4⋊Dic3—41no—
737Dic3⋊C4—22no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749Dic3⋊C4—41no—
750Dic3⋊C4—41no—
751Dic3⋊C4—41no—
752Dic3⋊C4—41no—
753Dic3⋊C4—41no—
754Dic3⋊C4—41no—
755C4×Dic3—41no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C25C22×D311yescharacteristic
760C22×Q8—31no—
761C22×D4—31no—
762C22×D4—31no—
763C22×D4—31no—
764C22×D4—31no—
765C22×D4—31no—
766C22×D4—31no—
767C22×D4—31no—
768C22×D4—31no—
769C22×D4—31no—
770C22×D4C22×D311yescharacteristic
771C22×D4C22×D311yescharacteristic
772C22×D4C22×D311yescharacteristic
773C23×C4—31no—
774C23×C4—31no—
775C23×C4—31no—
776C23×C4—31no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—31no—
782C23×C4—31no—
783C23×C4—64no—
784C23×C4—122no—
785C23×C4—122no—
786C23×C4C22×D311yescharacteristic
787C23×C4C22×D311yescharacteristic
788C23×C4C22×D311yescharacteristic
789#124—122no—
790#123—42no—
791#123—64no—
792#123—122no—
793#123—122no—
794C22⋊Q8—122no—
795C22⋊Q8—122no—
796#121—64no—
797#121—122no—
798#121—122no—
799#121—122no—
800#121—122no—
801#121—122no—
802#121—122no—
803#120—42no—
804#120—122no—
805#120—122no—
806C4×D4—42no—
807C4×D4—122no—
808C4×D4—122no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—31no—
828C2×C4⋊C4—31no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—122no—
836C2×C4⋊C4—122no—
837C2×C4⋊C4C22×D311yescharacteristic
838C2×C4⋊C4C22×D311yescharacteristic
839C2×C4⋊C4C22×D311yescharacteristic
840C2×C4⋊C4C22×D311yescharacteristic
841C2×C4⋊C4C22×D311yescharacteristic
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—42no—
877C2×C22⋊C4—122no—
878C2×C22⋊C4C22×D311yescharacteristic
879C2×C22⋊C4C22×D311yescharacteristic
880C2×C22⋊C4C22×D311yescharacteristic
881C2×C22⋊C4C22×D311yescharacteristic
882C2×C22⋊C4C22×D311yescharacteristic
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C22⋊C4C22×D311yescharacteristic
885C2×C22⋊C4C22×D311yescharacteristic
886C2×C22⋊C4C22×D311yescharacteristic
887C2×C22⋊C4C22×D311yescharacteristic
888C2×C22⋊C4C22×D311yescharacteristic
889C2×C22⋊C4C22×D311yescharacteristic
890C2×C22⋊C4C22×D311yescharacteristic
891C2×C22⋊C4C22×D311yescharacteristic
892C2×C22⋊C4C22×D311yescharacteristic
893C2×C22⋊C4C22×D311yescharacteristic
894C2×C42—31no—
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898C2×C42C22×D311yescharacteristic
899#95—31no—
900#95—31no—
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95C22×D311yescharacteristic
936#95C22×D311yescharacteristic
937#95C22×D311yescharacteristic
938#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940#95C22×D311yescharacteristic
941C23×C3—21no—
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—28no—
946C23×C3—21no—
947C23×C3—21no—
948C23×C3—21no—
949C23×C3—21no—
950C23×C3—21no—
951C23×C3—21no—
952C23×C3—21no—
953C23×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—21no—
960C23×C3—21no—
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—44no—
966C23×C3—44no—
967C23×C3—44no—
968C23×C3—44no—
969C23×C3—44no—
970C23×C3—44no—
971C23×C3C2×#4112yes—
972C23×C3H(5,𝔽2)12yes—
973C23×C3H(5,𝔽2)12yes—
974C23×C3H(5,𝔽2)12yes—
975C23×C32−1+412yes—
976C23×C3C2511yescharacteristic
977C22×D3—21no—
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C3×D4—44no—
992C3×D4—82no—
993C3×D4—82no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
1002C2×C3×C4—21no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—82no—
1028C2×C3×C4—82no—
1029C2×C3×C4—82no—
1030#67—44no—
1031#67—44no—
1032#67—82no—
1033#67—82no—
1034#67—82no—
1035#67—82no—
1036#67—82no—
1037#67—82no—
1038C2×Dic3—28no—
1039C2×Dic3—21no—
1040C2×Dic3—21no—
1041C2×Dic3—21no—
1042C2×Dic3—21no—
1043C2×Dic3—21no—
1044C2×Dic3—21no—
1045C2×Dic3—21no—
1046C2×Dic3—21no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—44no—
1079C2×Dic3—44no—
1080C2×Dic3—44no—
1081C2×Dic3—44no—
1082C2×Dic3—44no—
1083C2×Dic3—82no—
1084C2×Dic3—82no—
1085C2×Dic3C2×#4112yes—
1086C2×Dic3C2×#4112yes—
1087C2×Dic3H(5,𝔽2)12yes—
1088D12—82no—
1089C4×D3—82no—
1090C4×D3—82no—
1091Dic6—82no—
1092C24—22no—
1093C24—22no—
1094C24—22no—
1095C24—22no—
1096C24—22no—
1097C24—31no—
1098C24—31no—
1099C24—41no—
1100C24—41no—
1101C24C23×D311yescharacteristic
1102C24C23×D311yescharacteristic
1103C24C23×D311yescharacteristic
1104C24C23×D311yescharacteristic
1105C2×Q8—121no—
1106C2×Q8—121no—
1107C2×Q8—121no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—62no—
1118C2×D4—62no—
1119C2×D4—62no—
1120C2×D4—62no—
1121C2×D4—62no—
1122C2×D4—62no—
1123C2×D4—62no—
1124C2×D4—62no—
1125C2×D4—62no—
1126C2×D4—62no—
1127C2×D4—62no—
1128C2×D4—121no—
1129C2×D4—121no—
1130C2×D4—121no—
1131C2×D4—121no—
1132C2×D4—121no—
1133C2×D4—121no—
1134C2×D4—121no—
1135C2×D4—121no—
1136C2×D4—121no—
1137C2×D4—121no—
1138C2×D4—121no—
1139C2×D4—121no—
1140C2×D4—121no—
1141C2×D4—121no—
1142C2×D4—121no—
1143C2×D4—121no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—34no—
1150C22×C4—31no—
1151C22×C4—31no—
1152C22×C4—31no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—31no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—62no—
1169C22×C4—62no—
1170C22×C4—62no—
1171C22×C4—62no—
1172C22×C4—62no—
1173C22×C4—62no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—1216no—
1198C22×C4C23×D311yescharacteristic
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—62no—
1215C4⋊C4—62no—
1216C4⋊C4—62no—
1217C4⋊C4—62no—
1218C4⋊C4—62no—
1219C4⋊C4—62no—
1220C4⋊C4—121no—
1221C4⋊C4—121no—
1222C4⋊C4—121no—
1223C4⋊C4—121no—
1224C4⋊C4—121no—
1225C4⋊C4—121no—
1226C4⋊C4—121no—
1227C4⋊C4—121no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4—121no—
1235C4⋊C4—121no—
1236C4⋊C4—121no—
1237C4⋊C4—121no—
1238C4⋊C4—121no—
1239C4⋊C4—121no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—62no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—121no—
1268C22⋊C4—121no—
1269C22⋊C4—121no—
1270C22⋊C4—121no—
1271C22⋊C4—121no—
1272C22⋊C4—121no—
1273C22⋊C4—121no—
1274C22⋊C4—121no—
1275C22⋊C4—121no—
1276C22⋊C4—121no—
1277C22⋊C4—121no—
1278C22⋊C4—121no—
1279C22⋊C4—121no—
1280C22⋊C4—121no—
1281C22⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C42—41no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C22×C3—22no—
1296C22×C3—22no—
1297C22×C3—22no—
1298C22×C3—22no—
1299C22×C3—22no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—22no—
1306C22×C3—22no—
1307C22×C3—416no—
1308C22×C3—41no—
1309C22×C3—41no—
1310C22×C3—41no—
1311C22×C3—41no—
1312C22×C3—41no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3#56214yes—
1324C22×C3C22×#4111yescharacteristic
1325C22×C3C2×H(5,𝔽2)11yescharacteristic
1326C22×C3C2×H(5,𝔽2)11yescharacteristic
1327C22×C3C2×H(5,𝔽2)11yescharacteristic
1328C22×C3C2×H(5,𝔽2)11yescharacteristic
1329C22×C3C2×2−1+411yescharacteristic
1330C22×C3#58511yescharacteristic
1331C2×D3—41no—
1332C2×D3—41no—
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C3×C4—41no—
1346C3×C4—41no—
1347C3×C4—41no—
1348C3×C4—41no—
1349C3×C4—41no—
1350C3×C4—41no—
1351C3×C4—41no—
1352C3×C4—41no—
1353C3×C4—41no—
1354C3×C4—41no—
1355C3×C4—41no—
1356Dic3—22no—
1357Dic3—22no—
1358Dic3—22no—
1359Dic3—41no—
1360Dic3—41no—
1361Dic3—41no—
1362Dic3—41no—
1363Dic3—41no—
1364Dic3—41no—
1365Dic3—41no—
1366Dic3—41no—
1367Dic3—41no—
1368Dic3—41no—
1369Dic3—41no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—44no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23#100412yes—
1415C23#100412yes—
1416C23D3×#4112yes—
1417C23#100912yes—
1418C23#101012yes—
1419C23C24×D311yescharacteristic
1420Q8—242no—
1421D4—44no—
1422D4—82no—
1423D4—82no—
1424D4—124no—
1425D4—124no—
1426D4—242no—
1427D4—242no—
1428D4—242no—
1429D4—242no—
1430D4—242no—
1431D4—242no—
1432D4—242no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—32no—
1467C2×C4—32no—
1468C2×C4—32no—
1469C2×C4—68no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—82no—
1510C2×C4—82no—
1511C2×C4—82no—
1512C2×C4—124no—
1513C2×C4—124no—
1514C2×C4—124no—
1515C2×C4—124no—
1516C2×C4—124no—
1517C2×C4—242no—
1518C2×C4—242no—
1519C2×C4—242no—
1520C2×C4—242no—
1521C2×C3—24no—
1522C2×C3—42no—
1523C2×C3—42no—
1524C2×C3—81no—
1525C2×C3#349011yescharacteristic
1526C2×C3#349211yescharacteristic
1527C2×C3#349411yescharacteristic
1528C2×C3C2×#56211yescharacteristic
1529C2×C3#353411yescharacteristic
1530C2×C3#353711yescharacteristic
1531C2×C3#354111yescharacteristic
1532D3—81no—
1533D3—81no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—416no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22#566714yes—
1577C22C2×#100411yescharacteristic
1578C22C2×#100411yescharacteristic
1579C22C2×D3×#4111yescharacteristic
1580C22C2×#100911yescharacteristic
1581C22C2×#101011yescharacteristic
1582C22D3×H(5,𝔽2)11yescharacteristic
1583C22#596611yescharacteristic
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—62no—
1596C4—62no—
1597C4—62no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C4—121no—
1606C4—121no—
1607C4—121no—
1608C4—121no—
1609C3#4546211yescharacteristic, complemented, Sylow
1610C2—24no—
1611C2—42no—
1612C2—42no—
1613C2—81no—
1614C2—241no—
1615C2—241no—
1616C2C2×#566711yescharacteristic
1617C2#8602511yescharacteristic
1618C2#8639911yescharacteristic
1619C2#8661411yescharacteristic
1620C2#8663111yescharacteristic
1621C2#8664411yescharacteristic
1622C2#8681511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2418C2
hypercenter#2418D3
hypocenterC3#45462
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2418

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C3×#2418C2semidirect
2. #82910C2semidirect
3. #82869C2semidirect
4. #82601C2semidirect
5. #82586C2semidirect
6. #82380C2semidirect
7. #82360C2semidirect
8. #82109C2semidirect
9. C2×#4942C2semidirect
10. #78099C2semidirect
11. #78066C2semidirect
12. #77692C2semidirect
13. #77603C2semidirect
14. #77159C2semidirect
15. #77131C2semidirect
16. #77067C2semidirect
17. #77049C2semidirect
18. #75771C2semidirect
19. #75723C2semidirect
20. #75719C2semidirect
21. #75489C2semidirect
22. #74809C2semidirect
23. #74772C2semidirect
24. #74705C2semidirect
25. #74683C2semidirect
26. #74464C2semidirect
27. #74418C2semidirect
28. #73949C2semidirect
29. #73943C2semidirect
30. #73847C2semidirect
31. #73829C2semidirect
48. C2×#924C22semidirect
51. C2×#894C22semidirect
77. #5213C22semidirect
78. #5213C22semidirect
80. #5210C22semidirect
83. #4994C22semidirect
84. #4994C22semidirect
85. #4993C22semidirect
86. #4993C22semidirect
87. #4991C22semidirect
88. #4989C22semidirect
89. #4989C22semidirect
90. #4986C22semidirect
91. #4982C22semidirect
92. #4982C22semidirect
93. #4982C22semidirect
94. #4981C22semidirect
95. #4981C22semidirect
96. #4981C22semidirect
97. #4980C22semidirect
98. #4979C22semidirect
99. #4979C22semidirect
100. #4977C22semidirect
101. #4972C22semidirect
104. #4961C22semidirect
106. #4960C22semidirect
110. #4959C22semidirect
111. #4959C22semidirect
125. #4956C22semidirect
126. #4953C22semidirect
128. #4952C22semidirect
131. #4951C22semidirect
137. #4949C22semidirect
140. #4948C22semidirect
144. #4944C22semidirect
145. #4944C22semidirect
160. #4940C22semidirect
161. #4940C22semidirect
162. #4933C22semidirect
163. #4928C22semidirect
164. #4675C22semidirect
165. #4674C22semidirect
166. #4673C22semidirect
167. #4672C22semidirect
168. #4669C22semidirect
169. #4669C22semidirect
170. #4669C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4664C22semidirect
175. #4660C22semidirect
176. #4660C22semidirect
177. #4658C22semidirect
178. #4658C22semidirect
179. #4658C22semidirect
180. #4658C22semidirect
181. #4655C22semidirect
182. #4655C22semidirect
183. #4654C22semidirect
184. #4654C22semidirect
185. #4653C22semidirect
186. #4653C22semidirect
187. #4652C22semidirect
215. #2418D3semidirect
1609. C3#45462semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C3×#24182
#829102
#828692
#826012
#825862
#823802
#823602
#821092
C2×#49422
#780992
#780662
#776922
#776032
#771592
#771312
#770672
#770492
#757712
#757232
#757192
#754892
#748092
#747722
#747052
#746832
#744642
#744182
#739492
#739432
#738472
#738292
#454623